# Model tp116r
# Source version 2
# Simple APM canonicalizer version 1.3
# AMPL backend version 1.1
var x_1 >= 0.1, <= 1;
let x_1 := 0.5;
var x_2 >= 0.1, <= 1;
let x_2 := 0.8;
var x_3 >= 0.1, <= 1;
let x_3 := 0.9;
var x_4 >= 0.0001, <= 0.1;
let x_4 := 0.1;
var x_5 >= 0.1, <= 0.9;
let x_5 := 0.14;
var x_6 >= 0.1, <= 0.9;
let x_6 := 0.5;
var x_7 >= 0.1, <= 1000;
let x_7 := 489;
var x_8 >= 0.1, <= 1000;
let x_8 := 80;
var x_9 >= 500, <= 1000;
let x_9 := 650;
var x_10 >= 0.1, <= 500;
let x_10 := 450;
var x_11 >= 1, <= 150;
let x_11 := 150;
var x_12 >= 0.0001, <= 150;
let x_12 := 150;
var x_13 >= 0.0001, <= 150;
let x_13 := 150;
var mf = x_11 + x_12 + x_13;
var c_1 = x_3 - x_2 - .04;
var c_2 = x_2 - x_1;
var c_3 = 1 - .002*x_7 + .002*x_8;
var c_4 = mf - 50;
var c_5 = 250 - mf;
var c_6 = x_13 - 1.262626*x_10 + 1.231059*x_3*x_10;
var c_7 = x_5 - .03475*x_2 - .975*x_2*x_5 + .00975*x_2^2;
var c_8 = x_6 - .03475*x_3 - .975*x_3*x_6 + .00975*x_3^2;
var c_9 = x_5*x_7 - x_1*x_8 - x_4*x_7 + x_4*x_8;
var c_10 = 1 - .002*(x_2*x_9 + x_5*x_8 - x_1*x_8 - x_6*x_9) - x_5 - x_6;
var c_11 = x_2*x_9 - x_3*x_10 - x_6*x_9 - 500*x_2 + 500*x_6 + x_2*x_10;
var c_12 = x_2 - .9 - .002*(x_2*x_10 - x_3*x_10);
var c_13 = x_4 - .03475*x_1 - .975*x_1*x_4 + .00975*x_1^2;
var c_14 = x_11 - 1.262626*x_8 + 1.231059*x_1*x_8;
var c_15 = x_12 - 1.262626*x_9 + 1.231059*x_2*x_9;
var myminfun = mf;
var myabsdevnod0_0 = abs(myminfun - 97.58750955807048);
var myreldevnod0_0 = abs(myminfun/97.58750955807048 - 1);
var myabsdevnod0_1 = abs(x_1 - 0.8037731573766545);
var myreldevnod0_1 = abs(x_1/0.8037731573766545 - 1);
var myabsdevnod0_2 = abs(x_2 - 0.8999858006730378);
var myreldevnod0_2 = abs(x_2/0.8999858006730378 - 1);
var myabsdevnod0_3 = abs(x_3 - 0.9709824354837897);
var myreldevnod0_3 = abs(x_3/0.9709824354837897 - 1);
var myabsdevnod0_4 = abs(x_4 - 0.1);
var myreldevnod0_4 = abs(x_4/0.1 - 1);
var myabsdevnod0_5 = abs(x_5 - 0.1908131762155071);
var myreldevnod0_5 = abs(x_5/0.1908131762155071 - 1);
var myabsdevnod0_6 = abs(x_6 - 0.4606547828520911);
var myreldevnod0_6 = abs(x_6/0.4606547828520911 - 1);
var myabsdevnod0_7 = abs(x_7 - 574.0775735827624);
var myreldevnod0_7 = abs(x_7/574.0775735827624 - 1);
var myabsdevnod0_8 = abs(x_8 - 74.07757358276241);
var myreldevnod0_8 = abs(x_8/74.07757358276241 - 1);
var myabsdevnod0_9 = abs(x_9 - 500.0161601689685);
var myreldevnod0_9 = abs(x_9/500.0161601689685 - 1);
var myabsdevnod0_10 = abs(x_10 - 0.1);
var myreldevnod0_10 = abs(x_10/0.1 - 1);
var myabsdevnod0_11 = abs(x_11 - 20.23309069736758);
var myreldevnod0_11 = abs(x_11/20.23309069736758 - 1);
var myabsdevnod0_12 = abs(x_12 - 77.34768992730733);
var myreldevnod0_12 = abs(x_12/77.34768992730733 - 1);
var myabsdevnod0_13 = abs(x_13 - 0.006728933395576131);
var myreldevnod0_13 = abs(x_13/0.006728933395576131 - 1);
var myabsdevnod1_0 = (1/2)*(abs(myabsdevnod0_0 - myabsdevnod0_1) + (myabsdevnod0_0 + myabsdevnod0_1));
var myreldevnod1_0 = (1/2)*(abs(myreldevnod0_0 - myreldevnod0_1) + (myreldevnod0_0 + myreldevnod0_1));
var myabsdevnod1_2 = (1/2)*(abs(myabsdevnod0_2 - myabsdevnod0_3) + (myabsdevnod0_2 + myabsdevnod0_3));
var myreldevnod1_2 = (1/2)*(abs(myreldevnod0_2 - myreldevnod0_3) + (myreldevnod0_2 + myreldevnod0_3));
var myabsdevnod1_4 = (1/2)*(abs(myabsdevnod0_4 - myabsdevnod0_5) + (myabsdevnod0_4 + myabsdevnod0_5));
var myreldevnod1_4 = (1/2)*(abs(myreldevnod0_4 - myreldevnod0_5) + (myreldevnod0_4 + myreldevnod0_5));
var myabsdevnod1_6 = (1/2)*(abs(myabsdevnod0_6 - myabsdevnod0_7) + (myabsdevnod0_6 + myabsdevnod0_7));
var myreldevnod1_6 = (1/2)*(abs(myreldevnod0_6 - myreldevnod0_7) + (myreldevnod0_6 + myreldevnod0_7));
var myabsdevnod1_8 = (1/2)*(abs(myabsdevnod0_8 - myabsdevnod0_9) + (myabsdevnod0_8 + myabsdevnod0_9));
var myreldevnod1_8 = (1/2)*(abs(myreldevnod0_8 - myreldevnod0_9) + (myreldevnod0_8 + myreldevnod0_9));
var myabsdevnod1_10 = (1/2)*(abs(myabsdevnod0_10 - myabsdevnod0_11) + (myabsdevnod0_10 + myabsdevnod0_11));
var myreldevnod1_10 = (1/2)*(abs(myreldevnod0_10 - myreldevnod0_11) + (myreldevnod0_10 + myreldevnod0_11));
var myabsdevnod1_12 = (1/2)*(abs(myabsdevnod0_12 - myabsdevnod0_13) + (myabsdevnod0_12 + myabsdevnod0_13));
var myreldevnod1_12 = (1/2)*(abs(myreldevnod0_12 - myreldevnod0_13) + (myreldevnod0_12 + myreldevnod0_13));
var myabsdevnod2_0 = (1/2)*(abs(myabsdevnod1_0 - myabsdevnod1_2) + (myabsdevnod1_0 + myabsdevnod1_2));
var myreldevnod2_0 = (1/2)*(abs(myreldevnod1_0 - myreldevnod1_2) + (myreldevnod1_0 + myreldevnod1_2));
var myabsdevnod2_4 = (1/2)*(abs(myabsdevnod1_4 - myabsdevnod1_6) + (myabsdevnod1_4 + myabsdevnod1_6));
var myreldevnod2_4 = (1/2)*(abs(myreldevnod1_4 - myreldevnod1_6) + (myreldevnod1_4 + myreldevnod1_6));
var myabsdevnod2_8 = (1/2)*(abs(myabsdevnod1_8 - myabsdevnod1_10) + (myabsdevnod1_8 + myabsdevnod1_10));
var myreldevnod2_8 = (1/2)*(abs(myreldevnod1_8 - myreldevnod1_10) + (myreldevnod1_8 + myreldevnod1_10));
var myabsdevnod2_12 = myabsdevnod1_12;
var myreldevnod2_12 = myreldevnod1_12;
var myabsdevnod3_0 = (1/2)*(abs(myabsdevnod2_0 - myabsdevnod2_4) + (myabsdevnod2_0 + myabsdevnod2_4));
var myreldevnod3_0 = (1/2)*(abs(myreldevnod2_0 - myreldevnod2_4) + (myreldevnod2_0 + myreldevnod2_4));
var myabsdevnod3_8 = (1/2)*(abs(myabsdevnod2_8 - myabsdevnod2_12) + (myabsdevnod2_8 + myabsdevnod2_12));
var myreldevnod3_8 = (1/2)*(abs(myreldevnod2_8 - myreldevnod2_12) + (myreldevnod2_8 + myreldevnod2_12));
var myabsdevnod4_0 = (1/2)*(abs(myabsdevnod3_0 - myabsdevnod3_8) + (myabsdevnod3_0 + myabsdevnod3_8));
var myreldevnod4_0 = (1/2)*(abs(myreldevnod3_0 - myreldevnod3_8) + (myreldevnod3_0 + myreldevnod3_8));
var zmyabsdevmax = myabsdevnod4_0;
var zmyreldevmax = myreldevnod4_0;
minimize obj: myminfun;
subject to ci_1: c_1 >= 0;
subject to ci_2: c_2 >= 0;
subject to ci_3: c_3 >= 0;
subject to ci_4: c_4 >= 0;
subject to ci_5: c_5 >= 0;
subject to ci_6: c_6 >= 0;
subject to ci_7: c_7 >= 0;
subject to ci_8: c_8 >= 0;
subject to ci_9: c_9 >= 0;
subject to ci_10: c_10 >= 0;
subject to ci_11: c_11 >= 0;
subject to ci_12: c_12 >= 0;
subject to ci_13: c_13 >= 0;
subject to ci_14: c_14 >= 0;
subject to ci_15: c_15 >= 0;
solve;
display x_1;
display x_2;
display x_3;
display x_4;
display x_5;
display x_6;
display x_7;
display x_8;
display x_9;
display x_10;
display x_11;
display x_12;
display x_13;
display myminfun;
display zmyabsdevmax;
display zmyreldevmax;
# End Model